135403632 has 120 divisors (see below), whose sum is σ = 466435424. Its totient is φ = 35707392.

The previous prime is 135403613. The next prime is 135403637. The reversal of 135403632 is 236304531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 135403596 and 135403605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135403637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7938 + ... + 18270.

Almost surely, 2^135403632 is an apocalyptic number.

135403632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135403632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233217712).

135403632 is an abundant number, since it is smaller than the sum of its proper divisors (331031792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135403632 is a wasteful number, since it uses less digits than its factorization.

135403632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10367 (or 10358 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 135403632 is about 11636.3066305422. The cubic root of 135403632 is about 513.5035353230.

The spelling of 135403632 in words is "one hundred thirty-five million, four hundred three thousand, six hundred thirty-two".